# General analytic solution of R(2) gravity with dynamical torsion in two-dimensions

Kummer W, Schwarz D (1992) *PHYSICAL REVIEW D* 45(10): 3628-3635.

Download

**No fulltext has been uploaded. References only!**

*Journal Article*|

*Original Article*|

*Published*|

*English*

No fulltext has been uploaded

Author

Abstract

Using light-cone variables, we show that R2 gravity with dynamical torsion in two dimensions is one of the rare field theories whose complete classical solution in closed form can be obtained. It fulfils an invariant relation between the cosmological constant, the curvature scalar, and the scalar formed by the torsion tensor. We conjecture that this relation, interpreted as a local conservation law, is closely connected to the integrability of the theory. The solutions may possess a rich spectrum of singularities in curvature and torsion. Special cases, including one with nonvanishing torsion, can be used to elucidate some physical properties of the solution where by "physical" we imply the validity of concepts from general relativity such as measurements of distances and times and of extremal trajectories of a scalar test particle.

Publishing Year

ISSN

PUB-ID

### Cite this

Kummer W, Schwarz D. General analytic solution of R(2) gravity with dynamical torsion in two-dimensions.

*PHYSICAL REVIEW D*. 1992;45(10):3628-3635.Kummer, W., & Schwarz, D. (1992). General analytic solution of R(2) gravity with dynamical torsion in two-dimensions.

*PHYSICAL REVIEW D*,*45*(10), 3628-3635. doi:10.1103/PhysRevD.45.3628Kummer, W., and Schwarz, D. (1992). General analytic solution of R(2) gravity with dynamical torsion in two-dimensions.

*PHYSICAL REVIEW D*45, 3628-3635.Kummer, W., & Schwarz, D., 1992. General analytic solution of R(2) gravity with dynamical torsion in two-dimensions.

*PHYSICAL REVIEW D*, 45(10), p 3628-3635. W. Kummer and D. Schwarz, “General analytic solution of R(2) gravity with dynamical torsion in two-dimensions”,

*PHYSICAL REVIEW D*, vol. 45, 1992, pp. 3628-3635. Kummer, W., Schwarz, D.: General analytic solution of R(2) gravity with dynamical torsion in two-dimensions. PHYSICAL REVIEW D. 45, 3628-3635 (1992).

Kummer, Wolfgang, and Schwarz, Dominik. “General analytic solution of R(2) gravity with dynamical torsion in two-dimensions”.

*PHYSICAL REVIEW D*45.10 (1992): 3628-3635.
This data publication is cited in the following publications:

This publication cites the following data publications:

### 7 Citations in Europe PMC

Data provided by Europe PubMed Central.

Geometric interpretation and classification of global solutions in generalized dilaton gravity.

Katanaev MO, Kummer W, Liebl H.,

PMID: 10019845

Katanaev MO, Kummer W, Liebl H.,

*Phys. Rev., D*53(10), 1996PMID: 10019845

Higher derivative gravity in two dimensions.

Solodukhin SN.,

PMID: 10018511

Solodukhin SN.,

*Phys. Rev., D*51(2), 1995PMID: 10018511

Exact solution of two-dimensional Poincare gravity coupled to fermion matter.

Solodukhin S.,

PMID: 10018512

Solodukhin S.,

*Phys. Rev., D*51(2), 1995PMID: 10018512

Conserved quasilocal quantities and general covariant theories in two dimensions.

Kummer W, Widerin P.,

PMID: 10019237

Kummer W, Widerin P.,

*Phys. Rev., D*52(12), 1995PMID: 10019237

Two-dimensional Poincare gauge gravity with matter.

Obukhov YN.,

PMID: 10018157

Obukhov YN.,

*Phys. Rev., D*50(8), 1994PMID: 10018157

Towards complete integrability of two-dimensional Poincare gauge gravity.

Mielke EW, Gronwald F, Obukhov YN, Tresguerres R, Hehl FW.,

PMID: 10016639

Mielke EW, Gronwald F, Obukhov YN, Tresguerres R, Hehl FW.,

*Phys. Rev., D*48(8), 1993PMID: 10016639

### Export

0 Marked Publications### Web of Science

View record in Web of Science®### Sources

PMID: 10014257

PubMed | Europe PMC

Inspire 320031